Here is a cute example of the squeeze theorem from calculus. This theorem allows you to calculate the limit of a function at a point, supposing you know two other functions that bound said function above and below and both of which share the limit in question. These two auxiliary functions thus "squeeze" your function at the point in question. Here is one with a cool, albeit roughly sketched graph. This was done quickly at the very end of a session so it is not as neat as I would like, please bear with.
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